31468492800 has 432 divisors, whose sum is σ = 115176690720. Its totient is φ = 8207400960.

The previous prime is 31468492793. The next prime is 31468492813. The reversal of 31468492800 is 829486413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21656874 + ... + 21658326.

It is an arithmetic number, because the mean of its divisors is an integer number (266612710).

Almost surely, 2^31468492800 is an apocalyptic number.

31468492800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31468492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57588345360).

31468492800 is an abundant number, since it is smaller than the sum of its proper divisors (83708197920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31468492800 is a wasteful number, since it uses less digits than its factorization.

31468492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 31468492800 in words is "thirty-one billion, four hundred sixty-eight million, four hundred ninety-two thousand, eight hundred".